José Ferreirós
Biographic Data
| ID | 5825385 |
|---|---|
| NAME | José Ferreirós |
| GIVEN NAMES | José |
| FAMILY NAME | Ferreirós |
| SIGNATURE | FERREIRÓS J |
| AFFILIATIONS | Universidad de Sevilla |
| ORCID | 0000-0002-4837-3071 |
| VERIFIED | Yes |
| TOTAL WORKS | 11 |
| TOTAL CITATIONS | 4 |
| WORKS AS AUTHOR | 11 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 2002 |
| LATEST PUBLICATION YEAR | 2023 |
| H-INDEX | 1 |
Conceptual Structuralism
This paper defends a conceptualistic version of structuralism as the most convincing way of elaborating a philosophical understanding of structuralism in line with the classical tradition. The argument begins with a revision of the tradition of “conceptual mathematics”, incarnated in key figures of the period 1850 to 1940 like Riemann, Dedekind, Hilbert or Noether, showing how it led to a structuralist methodology. Then the tension between the ‘p…
Dedekind and Wolffian Deductive Method
Dedekind’s methodology, in his classic booklet on the foundations of arithmetic, has been the topic of some debate. While some authors make it closely analogue to Hilbert’s early axiomatics, others emphasize its idiosyncratic features, most importantly the fact that no axioms are stated and its careful deductive structure apparently rests on definitions alone. In particular, the so-called Dedekind “axioms” of arithmetic are presented by him as “c…
From Gauss to Riemann Through Jacobi
Gauss and the Mathematical Background to Standardisation
Our aim is to explore the links between standardisation, the quantifying spirit, and the discipline mathematics. To do so, we consider the work of Gauss, renowned as a pure mathematician, but professionally an astronomer, and one heavily engaged with all kinds of measuring and precision initiatives. He contributed to the mathematical correction of data with the method of least squares; to observations of high precision in his geodetic work; to th…
A long-awaited edition of Zermelo’s works
Un doble vínculo? Reflexiones sobre historia, ciencia y cultura
El objetivo de este trabajo es explorar el doble vínculo entre ciencia y cultura a través de un repaso, desde la historia y la filosofía de la ciencia, de las actividades científicas, en particular las asociadas al conocimiento matemático, en tanto que conjuntos de saberes y prácticas pertenecientes a un contexto intelectual, social y político más amplio y complejo
Hilbert, logicism, and mathematical existence
Kurt Gödel
Ofrecemos un repaso a las principales contribuciones de Kurt Gödel en el campo de Lógica y fundamentos de las matemáticas, analizando su impacto, que bien puede llamarse revolucionario. La pretensión es hacer comprensible la tendencia y orientación metodológica de los trabajos de Gödel, y considerar en algún detalle sus repercusiones filosóficas. Así, se ofrece una perspectiva de cómo cambió la filosofía de las matemáticas entre las fechas de nac…
Uncertain Foundations
The Motives behind Cantor's Set Theory – Physical, Biological, and Philosophical Questions
The celebrated “creation” of transfinite set theory by Georg Cantor has been studied in detail by historians of mathematics. However, it has generally been overlooked that his research program cannot be adequately explained as an outgrowth of the mainstream mathematics of his day. We review the main extra-mathematical motivations behind Cantor's very novel research, giving particular attention to a key contribution, the Grundlagen (Foundations of…
Hacia una filosofía de la experimentación
El artículo intenta promover una recepción más amplia de los trabajos recientes sobre filosofía de la actividad científica experimental. Primero se comentarán los orígenes y las características de la tradición teoreticista predominante, criticando sus presupuestos y sus "miserias". Se analizará luego la función de los instrumentos, proponiendo una tipología de la actividad experimental, aunque elemental —esperamos— útil. Tras analizar la estructu…
Hilbert, logicism, and mathematical existence
Gauss and the Mathematical Background to Standardisation
Our aim is to explore the links between standardisation, the quantifying spirit, and the discipline mathematics. To do so, we consider the work of Gauss, renowned as a pure mathematician, but professionally an astronomer, and one heavily engaged with all kinds of measuring and precision initiatives. He contributed to the mathematical correction of data with the method of least squares; to observations of high precision in his geodetic work; to th…
Hacia una filosofía de la experimentación
El artículo intenta promover una recepción más amplia de los trabajos recientes sobre filosofía de la actividad científica experimental. Primero se comentarán los orígenes y las características de la tradición teoreticista predominante, criticando sus presupuestos y sus "miserias". Se analizará luego la función de los instrumentos, proponiendo una tipología de la actividad experimental, aunque elemental —esperamos— útil. Tras analizar la estructu…
Uncertain Foundations
The Motives behind Cantor's Set Theory – Physical, Biological, and Philosophical Questions
The celebrated “creation” of transfinite set theory by Georg Cantor has been studied in detail by historians of mathematics. However, it has generally been overlooked that his research program cannot be adequately explained as an outgrowth of the mainstream mathematics of his day. We review the main extra-mathematical motivations behind Cantor's very novel research, giving particular attention to a key contribution, the Grundlagen (Foundations of…
Kurt Gödel
Ofrecemos un repaso a las principales contribuciones de Kurt Gödel en el campo de Lógica y fundamentos de las matemáticas, analizando su impacto, que bien puede llamarse revolucionario. La pretensión es hacer comprensible la tendencia y orientación metodológica de los trabajos de Gödel, y considerar en algún detalle sus repercusiones filosóficas. Así, se ofrece una perspectiva de cómo cambió la filosofía de las matemáticas entre las fechas de nac…
Hilbert, logicism, and mathematical existence
Un doble vínculo? Reflexiones sobre historia, ciencia y cultura
El objetivo de este trabajo es explorar el doble vínculo entre ciencia y cultura a través de un repaso, desde la historia y la filosofía de la ciencia, de las actividades científicas, en particular las asociadas al conocimiento matemático, en tanto que conjuntos de saberes y prácticas pertenecientes a un contexto intelectual, social y político más amplio y complejo
A long-awaited edition of Zermelo’s works
From Gauss to Riemann Through Jacobi
Gauss and the Mathematical Background to Standardisation
Our aim is to explore the links between standardisation, the quantifying spirit, and the discipline mathematics. To do so, we consider the work of Gauss, renowned as a pure mathematician, but professionally an astronomer, and one heavily engaged with all kinds of measuring and precision initiatives. He contributed to the mathematical correction of data with the method of least squares; to observations of high precision in his geodetic work; to th…
Dedekind and Wolffian Deductive Method
Dedekind’s methodology, in his classic booklet on the foundations of arithmetic, has been the topic of some debate. While some authors make it closely analogue to Hilbert’s early axiomatics, others emphasize its idiosyncratic features, most importantly the fact that no axioms are stated and its careful deductive structure apparently rests on definitions alone. In particular, the so-called Dedekind “axioms” of arithmetic are presented by him as “c…
Conceptual Structuralism
This paper defends a conceptualistic version of structuralism as the most convincing way of elaborating a philosophical understanding of structuralism in line with the classical tradition. The argument begins with a revision of the tradition of “conceptual mathematics”, incarnated in key figures of the period 1850 to 1940 like Riemann, Dedekind, Hilbert or Noether, showing how it led to a structuralist methodology. Then the tension between the ‘p…
Philosophy (11 works) · Epistemology (8 works) · History and Theory of Mathematics (6 works) · Mathematics (5 works) · Philosophy of science (5 works) · History (4 works) · Philosophy (4 works) · Philosophy and History of Science (4 works) · Philosophy, Science, and History (4 works) · Humanities (3 works)